{"id":1754,"date":"2025-11-06T10:32:19","date_gmt":"2025-11-06T09:32:19","guid":{"rendered":"https:\/\/marta-belles.com\/articulos-y-charlas\/"},"modified":"2025-12-19T08:36:46","modified_gmt":"2025-12-19T07:36:46","slug":"articulos-y-charlas","status":"publish","type":"page","link":"https:\/\/marta-belles.com\/es\/articulos-y-charlas\/","title":{"rendered":"ART\u00cdCULOS Y CHARLAS"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"1754\" class=\"elementor elementor-1754 elementor-943\" data-elementor-post-type=\"page\">\n\t\t\t\t<div class=\"elementor-element elementor-element-10a2db8 e-flex e-con-boxed e-con e-parent\" data-id=\"10a2db8\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-1c4885e elementor-widget elementor-widget-heading\" data-id=\"1c4885e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">ART\u00cdCULOS <\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-87019f1 e-flex e-con-boxed e-con e-parent\" data-id=\"87019f1\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-59c0483 elementor-widget elementor-widget-heading\" data-id=\"59c0483\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Publicaciones<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-eb24886 elementor-widget elementor-widget-text-editor\" data-id=\"eb24886\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"color: #d7d7d7; font-weight: 400; font-style: italic;\">2023 \u00b7 <\/span> Doctorado en Tecnolog\u00edas de la Informaci\u00f3n y la Comunicaci\u00f3n &#8211; <span style=\"font-weight: 300;\">Universidad Pompeu Fabra (Barcelona, Espa\u00f1a)<br><\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4310dde elementor-widget elementor-widget-text-editor\" data-id=\"4310dde\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"color: #d7d7d7; font-weight: 400; font-style: italic;\">2018 \u00b7 <\/span> M\u00e1ster en Matem\u00e1ticas &#8211; <span style=\"font-weight: 300;\">Universidad de Aarhus (Aarhus, Dinamarca)<br><\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8ea90e4 elementor-widget elementor-widget-text-editor\" data-id=\"8ea90e4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<span style=\"color: #d7d7d7; font-weight: 400; font-style: italic;\">2018 \u00b7 <\/span> Grado en Saxof\u00f3n Cl\u00e1sico &#8211; \n<span style=\"font-weight: 300;\">\nLiceu College of Music (Barcelona, Espa\u00f1a)\n<\/span>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-3a2ac01 e-flex e-con-boxed e-con e-parent\" data-id=\"3a2ac01\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-798fa81 elementor-widget elementor-widget-heading\" data-id=\"798fa81\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">CHARLAS<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-174e8e7 e-con-full e-flex e-con e-child\" data-id=\"174e8e7\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-e6c6ec5 e-con-full e-flex e-con e-child\" data-id=\"e6c6ec5\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-b13bd56 elementor-align-justify button-arrow elementor-widget elementor-widget-button\" data-id=\"b13bd56\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"#\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-icon\">\n\t\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10\" height=\"10\" viewBox=\"0 0 10 10\" fill=\"none\"><path d=\"M0.599609 8.59998L8.59961 0.599976M8.59961 0.599976H2.59961M8.59961 0.599976V6.59998\" stroke=\"#292929\" stroke-width=\"1.2\" stroke-linecap=\"round\" stroke-linejoin=\"round\"><\/path><\/svg>\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Ver v\u00eddeo<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-07cb4b9 e-con-full e-flex e-con e-child\" data-id=\"07cb4b9\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-222f416 e-con-full e-flex e-con e-child\" data-id=\"222f416\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;video&quot;,&quot;background_video_link&quot;:&quot;https:\\\/\\\/www.youtube.com\\\/watch?v=1MVNziOi3oo&amp;t=1s&quot;}\">\n\t\t<div class=\"elementor-background-video-container elementor-hidden-mobile\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-video-embed\" role=\"presentation\"><\/div>\n\t\t\t\t\t\t<\/div>\t\t<div class=\"elementor-element elementor-element-fb527b2 elementor-widget elementor-widget-spacer\" data-id=\"fb527b2\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-9723222 e-con-full e-flex e-con e-child\" data-id=\"9723222\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-cc2bda5 elementor-widget elementor-widget-heading\" data-id=\"cc2bda5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">M\u00e1s all\u00e1 de la criptograf\u00eda - Marta Bell\u00e9s\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-df86bd0 elementor-widget elementor-widget-text-editor\" data-id=\"df86bd0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>La charla resume la evoluci\u00f3n de la criptograf\u00eda y c\u00f3mo las matem\u00e1ticas han dado lugar a los sistemas actuales. Explica que, pese a su complejidad, muchos m\u00e9todos modernos derivan de principios cl\u00e1sicos. Tambi\u00e9n presenta protocolos aplicados a blockchain, como las firmas digitales y las pruebas <em data-start=\"340\" data-end=\"356\">zero-knowledge<\/em>.  <\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-9341708 e-con-full e-flex e-con e-child\" data-id=\"9341708\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-7dfcc4f elementor-align-justify button-arrow elementor-widget elementor-widget-button\" data-id=\"7dfcc4f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"#\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-icon\">\n\t\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10\" height=\"10\" viewBox=\"0 0 10 10\" fill=\"none\"><path d=\"M0.599609 8.59998L8.59961 0.599976M8.59961 0.599976H2.59961M8.59961 0.599976V6.59998\" stroke=\"#292929\" stroke-width=\"1.2\" stroke-linecap=\"round\" stroke-linejoin=\"round\"><\/path><\/svg>\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Ver v\u00eddeo<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-19363c0 e-con-full e-flex e-con e-child\" data-id=\"19363c0\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;video&quot;,&quot;background_video_link&quot;:&quot;https:\\\/\\\/www.youtube.com\\\/watch?v=JwoMkVV8z9M&quot;}\">\n\t\t<div class=\"elementor-background-video-container elementor-hidden-mobile\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-video-embed\" role=\"presentation\"><\/div>\n\t\t\t\t\t\t<\/div>\t\t<div class=\"elementor-element elementor-element-65c587d elementor-widget elementor-widget-spacer\" data-id=\"65c587d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-e700a73 e-con-full e-flex e-con e-child\" data-id=\"e700a73\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-2690354 elementor-widget elementor-widget-heading\" data-id=\"2690354\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Habilitaci\u00f3n de transacciones privadas en una blockchain p\u00fablica por Marta Bell\u00e9s en la UPF<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-23deedc elementor-widget elementor-widget-text-editor\" data-id=\"23deedc\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>La charla explica el modelo de transacciones confidenciales de Dusk Network, una infraestructura <em data-start=\"133\" data-end=\"146\">open-source<\/em> centrada en la privacidad. Se detalla c\u00f3mo las transacciones y los <em data-start=\"214\" data-end=\"231\">smart contracts<\/em> se verifican mediante pruebas ZK, usando circuitos aritm\u00e9ticos para demostrar su correcci\u00f3n sin revelar direcciones de emisor y receptor ni el valor transferido. <\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-9666ac8 e-con-full e-flex e-con e-child\" data-id=\"9666ac8\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-939d450 e-con-full e-flex e-con e-child\" data-id=\"939d450\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-271f6e3 e-con-full e-flex e-con e-child\" data-id=\"271f6e3\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;video&quot;,&quot;background_video_link&quot;:&quot;https:\\\/\\\/www.youtube.com\\\/watch?v=GGPwefsDywA&quot;}\">\n\t\t<div class=\"elementor-background-video-container elementor-hidden-mobile\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-video-embed\" role=\"presentation\"><\/div>\n\t\t\t\t\t\t<\/div>\t\t<div class=\"elementor-element elementor-element-cb0da8f elementor-widget elementor-widget-spacer\" data-id=\"cb0da8f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-f036443 e-con-full e-flex e-con e-child\" data-id=\"f036443\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-7c67248 elementor-widget elementor-widget-heading\" data-id=\"7c67248\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">M\u00e1s all\u00e1 de la criptograf\u00eda - Marta Bell\u00e9s Mu\u00f1oz<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-385dc36 elementor-widget elementor-widget-text-editor\" data-id=\"385dc36\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>La charla repasa la evoluci\u00f3n de la criptograf\u00eda y c\u00f3mo las matem\u00e1ticas han permitido crear sistemas cada vez m\u00e1s seguros. Explica que muchos m\u00e9todos modernos, aunque parezcan complejos, tienen bases similares a los cl\u00e1sicos. Tambi\u00e9n introduce protocolos clave usados hoy, especialmente en blockchain, como las firmas digitales y las pruebas <em data-start=\"362\" data-end=\"378\">zero-knowledge<\/em>.  <\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-37abf0e elementor-align-justify button-arrow elementor-widget elementor-widget-button\" data-id=\"37abf0e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"#\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-icon\">\n\t\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10\" height=\"10\" viewBox=\"0 0 10 10\" fill=\"none\"><path d=\"M0.599609 8.59998L8.59961 0.599976M8.59961 0.599976H2.59961M8.59961 0.599976V6.59998\" stroke=\"#292929\" stroke-width=\"1.2\" stroke-linecap=\"round\" stroke-linejoin=\"round\"><\/path><\/svg>\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Ver v\u00eddeo<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>ART\u00cdCULOS Publicaciones 2023 \u00b7 Doctorado en Tecnolog\u00edas de la Informaci\u00f3n y la Comunicaci\u00f3n &#8211; Universidad Pompeu Fabra (Barcelona, Espa\u00f1a) 2018 \u00b7 M\u00e1ster en Matem\u00e1ticas &#8211; Universidad de Aarhus (Aarhus, Dinamarca) 2018 \u00b7 Grado en Saxof\u00f3n Cl\u00e1sico &#8211; Liceu College of Music (Barcelona, Espa\u00f1a) CHARLAS Ver v\u00eddeo M\u00e1s all\u00e1 de la criptograf\u00eda &#8211; Marta Bell\u00e9s La [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"class_list":["post-1754","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - 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